Pascal's Triangle is one of the most elegant and useful patterns in mathematics. Each row begins and ends with the number one, and every other number is the sum of the two numbers directly above it.
This demonstration generates Pascal's Triangle one row at a time, allowing you to watch the pattern emerge. You can choose how many rows to generate and adjust the display speed, from instantaneous output to a timed animation. The generated values can also be copied as CSV for use in spreadsheets or further analysis.
Despite its simple construction, the triangle has applications in algebra, probability, combinatorics, number theory, and computer science.
Enter the number of rows you want to generate, choose a display speed,
then click [Generate].
Pascal's triangle will be built row by row (or instantly, if selected).
Use [Copy All Results] to copy the generated values as CSV for use in spreadsheets or other applications, or [Clear Results] to start again.